Zobrazeno 1 - 10
of 507
pro vyhledávání: '"82C31"'
Metaheuristic algorithms, widely used for solving complex non-convex and non-differentiable optimization problems, often lack a solid mathematical foundation. In this review, we explore how concepts and methods from kinetic theory can offer a potenti
Externí odkaz:
http://arxiv.org/abs/2410.10369
In molecular dynamics, transport coefficients measure the sensitivity of the invariant probability measure of the stochastic dynamics at hand with respect to some perturbation. They are typically computed using either the linear response of nonequili
Externí odkaz:
http://arxiv.org/abs/2410.00212
Autor:
Maxian, Ondrej, Donev, Aleksandar
The last few years have seen an explosion of new numerical methods for filament hydrodynamics. Aside from their ubiquity in biology, physics, and engineering, filaments present unique challenges from an applied-mathematical point of view. Their slend
Externí odkaz:
http://arxiv.org/abs/2408.15913
Autor:
Cao, Fei, Cortez, Roberto
We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in $[-1,1]$. At each update time, two random agents are selected, and the opinion of the first agent is updated based on the
Externí odkaz:
http://arxiv.org/abs/2408.01624
Autor:
Cao, Fei, Reed, Stephanie
In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals influence each
Externí odkaz:
http://arxiv.org/abs/2408.00148
Autor:
Cao, Fei, Yang, Jincheng
We study the discrete Fokker-Planck equation associated with the mean-field dynamics of a particle system called the dispersion process. For different regimes of the average number of particles per site, we establish various quantitative long-time co
Externí odkaz:
http://arxiv.org/abs/2406.05043
Autor:
Bernou, Armand, Duerinckx, Mitia
We consider a system of classical Brownian particles interacting via a smooth long-range potential in the mean-field regime, and we analyze the propagation of chaos in form of sharp, uniform-in-time estimates on many-particle correlation functions. O
Externí odkaz:
http://arxiv.org/abs/2405.19306
This work introduces a sampling method capable of solving Bayesian inverse problems in function space. It does not assume the log-concavity of the likelihood, meaning that it is compatible with nonlinear inverse problems. The method leverages the rec
Externí odkaz:
http://arxiv.org/abs/2405.15676
In the study of stochastic systems, the committor function describes the probability that a system starting from an initial configuration $x$ will reach a set $B$ before a set $A$. This paper introduces an efficient and interpretable algorithm for ap
Externí odkaz:
http://arxiv.org/abs/2405.10410
Autor:
Cao, Wenjing, Du, Kai
This paper is concerned with the approximation to invariant measures for Langevin dynamics of McKean--Vlasov type. Under dissipativity and Lipschitz conditions, we prove that the empirical measures of both the mean-field and self-interacting Langevin
Externí odkaz:
http://arxiv.org/abs/2404.18164